Special decentralized control problems in discrete-time interconnected systems composed of two subsystems

被引：33

作者：

Duan, Zhisheng ^{[1
]}

Wang, Jinzhi ^{[1
]}

Huang, Lin ^{[1
]}

机构：

[1] Peking Univ, Dept Mech & Engn Sci, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China

来源：

SYSTEMS & CONTROL LETTERS | 2007年 / 56卷 / 03期

基金：

中国国家自然科学基金;

关键词：

interconnected systems; decentralized control; parameter-dependent Lyapunov function (PDLF); linear matrix inequality (LMI); star coupled network;

D O I：

10.1016/j.sysconle.2006.09.002

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, some special decentralized control problems are addressed for discrete-time interconnected systems. First it is pointed out that some subsystems must be unstable to ensure stability of the overall system in some special cases. Then a special kind of decentralized control problem is studied. This kind of problem can be viewed as harmonic control among independent subsystems. Research results show that two unstable systems can generate a stable system through some effective cooperations. In addition, a decentralized controller design method based on linear matrix inequality is also given by using parameter-dependent Lyapunov function method developed for the study of robust stability. A special linear star coupled dynamical network is also considered. The central subsystem must be unstable to stabilize the whole network under a special coupling. Several examples are given to illustrate the results. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：206 / 214

页数：9

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